Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4620a |
Isogeny class |
Conductor |
4620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-5488560 = -1 · 24 · 34 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,126] |
[a1,a2,a3,a4,a6] |
Generators |
[3:9:1] |
Generators of the group modulo torsion |
j |
-67108864/343035 |
j-invariant |
L |
2.8152257714161 |
L(r)(E,1)/r! |
Ω |
2.0886051199961 |
Real period |
R |
0.44929919087518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480cs1 73920de1 13860s1 23100bc1 |
Quadratic twists by: -4 8 -3 5 |